Evaluating a triple integral using spherical coordinates

Evaluate:

Triple integral over domain H of

To the point: I used spherical coordinates and during the integration with respect to phi (the vertical angle), it resulted in 0, causing the entire triple integral to evaluate to 0, which I assume to be wrong.

Oh! That's awesome. Thanks a ton for your replies. My instructor is playing mind games with us; he gives us six review questions for the final exam, but doesn't give us the answers, and so far I've found the answer to three of them to be zero!

Oh! That's awesome. Thanks a ton for your replies. My instructor is playing mind games with us; he gives us six review questions for the final exam, but doesn't give us the answers, and so far I've found the answer to three of them to be zero!

Post your questions and answers here on MHF and we'll check if you like.